As per IS456 : 2000, what is the value of \(\frac{x_umas}{d}\)for Fe 415 steel? 

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HPCL Engineer Civil 23 Dec 2023 Official Paper
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  1. 0.364
  2. 0.479
  3. 0.459
  4. 0.531

Answer (Detailed Solution Below)

Option 2 : 0.479
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Explanation:
The ratio of limiting depth of neutral axis to the effective depth of the beam is given by

\(X_{umax}=\left [ \frac{0.0035}{0.0055+\frac{{0.87f_{y}}}{E_{s}}} \right ]d\)

Note:
We know the standard values of the ratio of limiting depth of neutral axis to the effective depth (k) of the beam for different steel sections as following:
Xu=K .d

Grade of Steel Fe 500 Fe 415 Fe 250
'k' value 0.46 0.48 0.53

For Fe415 grade limiting value of depth of neutral axis is 0.48d

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